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13122030021210 = 23251126994910921
BaseRepresentation
bin1011111011110011010111…
…1100000010101001011010
31201110110020211111220100200
42332330311330002221122
53204442404141134320
643524102151243030
72523015064563105
oct276746574025132
951413224456320
1013122030021210
1141aa0269468a0
12157b179379476
1374252c5cb666
14335176bdd73c
1517b502980290
hexbef35f02a5a

13122030021210 has 96 divisors (see below), whose sum is σ = 37232646235200. Its totient is φ = 3179918918400.

The previous prime is 13122030021197. The next prime is 13122030021251. The reversal of 13122030021210 is 1212003022131.

13122030021210 is a `hidden beast` number, since 1 + 312 + 20 + 300 + 21 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216550 + ... + 5127470.

It is an arithmetic number, because the mean of its divisors is an integer number (387840064950).

Almost surely, 213122030021210 is an apocalyptic number.

13122030021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122030021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616323117600).

13122030021210 is an abundant number, since it is smaller than the sum of its proper divisors (24110616213990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122030021210 is a wasteful number, since it uses less digits than its factorization.

13122030021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913644 (or 4913641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122030021210 its reverse (1212003022131), we get a palindrome (14334033043341).

The spelling of 13122030021210 in words is "thirteen trillion, one hundred twenty-two billion, thirty million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2699 5398 8097 13495 16194 24291 26990 29689 40485 48582 59378 80970 89067 121455 148445 178134 242910 267201 296890 445335 534402 890670 1336005 2672010 4910921 9821842 14732763 24554605 29465526 44198289 49109210 54020131 73663815 88396578 108040262 147327630 162060393 220991445 270100655 324120786 441982890 486181179 540201310 810301965 972362358 1620603930 2430905895 4861811790 13254575779 26509151558 39763727337 66272878895 79527454674 119291182011 132545757790 145800333569 198818636685 238582364022 291600667138 397637273370 437401000707 596455910055 729001667845 874802001414 1192911820110 1312203002121 1458003335690 2187005003535 2624406004242 4374010007070 6561015010605 13122030021210